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Universe 2018, 4(2), 17; https://doi.org/10.3390/universe4020017

Higher Spin Extension of Fefferman-Graham Construction

1
Laboratoire de Mathématiques et Physique Théorique Unité Mixte de Recherche 7350 du CNRS Fédération de Recherche 2964 Denis Poisson Université François Rabelais, Parc de Grandmont, Tours 37200, France
2
Lebedev Institute of Physics, Leninsky ave. 53, Moscow 119991, Russia
3
Albert Einstein Institute, Am Mühlenberg 1, D-14476 Potsdam-Golm, Germany
*
Author to whom correspondence should be addressed.
Received: 31 October 2017 / Revised: 28 December 2017 / Accepted: 12 January 2018 / Published: 29 January 2018
(This article belongs to the Special Issue Higher Spin Gauge Theories)
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Abstract

Fefferman-Graham ambient construction can be formulated as sp ( 2 ) -algebra relations on three Hamiltonian constraint functions on ambient space. This formulation admits a simple extension that leads to higher-spin fields, both conformal gauge fields and usual massless fields on anti-de Sitter spacetime. For the bulk version of the system, we study its possible on-shell version which is formally consistent and reproduces conformal higher-spin fields on the boundary. Interpretation of the proposed on-shell version crucially depends on the choice of the functional class. Although the choice leading to fully interacting higher-spin theory in the bulk is not known, we demonstrate that the system has a vacuum solution describing general higher-spin flat backgrounds. Moreover, we propose a functional class such that the system describes propagation of higher-spin fields over any higher-spin flat background, reproducing all the structures that determine the known nonlinear higher-spin equations. View Full-Text
Keywords: higher-spin theory; AdS/CFT; Fefferman-Graham higher-spin theory; AdS/CFT; Fefferman-Graham
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Bekaert, X.; Grigoriev, M.; Skvortsov, E. Higher Spin Extension of Fefferman-Graham Construction. Universe 2018, 4, 17.

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